yhixd
yhixd yhixd
  • 08-04-2022
  • Mathematics
contestada

simplify the expression m^-6n^-3/m^-13n^-1

A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2

simplify the expression m6n3m13n1 Am7n2 Bn9n14 Cm3n12 Dm7n2 class=

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evelalatina
evelalatina evelalatina
  • 08-04-2022
Key the ruler of reducing similar terms answer is D)
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loneguy
loneguy loneguy
  • 08-04-2022

[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]

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